%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC182+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:22 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC182+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:21:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.nil $$unsorted) % 0.52/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.72 (define @t3 () (= @t2 @t1)) % 0.52/0.72 (define @t4 () (not @t3)) % 0.52/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.72 (define @t7 () (@list @t1)) % 0.52/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.72 (define @t9 () (@list @t2)) % 0.52/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.72 (define @t13 () (tptp.ssList @t10)) % 0.52/0.72 (define @t14 () (@list @t10)) % 0.52/0.72 (define @t15 () (tptp.ssList @t12)) % 0.52/0.72 (define @t16 () (@list @t12)) % 0.52/0.72 (define @t17 () (tptp.ssList @t2)) % 0.52/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.72 (define @t21 () (tptp.ssList @t1)) % 0.52/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.72 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.52/0.72 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.52/0.72 (define @t25 () (tptp.leq @t12 @t1)) % 0.52/0.72 (define @t26 () (tptp.leq @t1 @t12)) % 0.52/0.72 (define @t27 () (@var "Z" $$unsorted)) % 0.52/0.72 (define @t28 () (@var "Y" $$unsorted)) % 0.52/0.72 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.52/0.72 (define @t30 () (tptp.ssList @t27)) % 0.52/0.72 (define @t31 () (@list @t27)) % 0.52/0.72 (define @t32 () (tptp.ssList @t28)) % 0.52/0.72 (define @t33 () (@list @t28)) % 0.52/0.72 (define @t34 () (tptp.ssItem @t12)) % 0.52/0.72 (define @t35 () (tptp.lt @t1 @t12)) % 0.52/0.72 (define @t36 () (= @t1 @t12)) % 0.52/0.72 (define @t37 () (tptp.cons @t1 @t2)) % 0.52/0.72 (define @t38 () (tptp.ssList @t37)) % 0.52/0.72 (define @t39 () (forall @t7 (=> @t6 @t38))) % 0.52/0.72 (define @t40 () (=> @t17 @t39)) % 0.52/0.72 (define @t41 () (forall @t9 @t40)) % 0.52/0.72 (define @t42 () (tptp.ssList tptp.nil)) % 0.52/0.72 (define @t43 () (not (= @t37 @t2))) % 0.52/0.72 (define @t44 () (=> @t6 @t43)) % 0.52/0.72 (define @t45 () (forall @t7 @t44)) % 0.52/0.72 (define @t46 () (=> @t17 @t45)) % 0.52/0.72 (define @t47 () (forall @t9 @t46)) % 0.52/0.72 (define @t48 () (= @t1 @t2)) % 0.52/0.72 (define @t49 () (tptp.cons @t12 @t1)) % 0.52/0.72 (define @t50 () (= tptp.nil @t2)) % 0.52/0.72 (define @t51 () (tptp.hd @t2)) % 0.52/0.72 (define @t52 () (not @t50)) % 0.52/0.72 (define @t53 () (tptp.tl @t2)) % 0.52/0.72 (define @t54 () (tptp.app @t2 @t1)) % 0.52/0.72 (define @t55 () (tptp.ssList @t54)) % 0.52/0.72 (define @t56 () (forall @t7 (=> @t21 @t55))) % 0.52/0.72 (define @t57 () (=> @t17 @t56)) % 0.52/0.72 (define @t58 () (forall @t9 @t57)) % 0.52/0.72 (define @t59 () (tptp.app @t1 @t2)) % 0.52/0.72 (define @t60 () (tptp.leq @t1 @t2)) % 0.52/0.72 (define @t61 () (tptp.leq @t2 @t1)) % 0.52/0.72 (define @t62 () (tptp.geq @t2 @t1)) % 0.52/0.72 (define @t63 () (tptp.lt @t1 @t2)) % 0.52/0.72 (define @t64 () (tptp.lt @t2 @t1)) % 0.52/0.72 (define @t65 () (tptp.lt @t2 @t12)) % 0.52/0.72 (define @t66 () (tptp.gt @t2 @t1)) % 0.52/0.72 (define @t67 () (tptp.memberP @t12 @t2)) % 0.52/0.72 (define @t68 () (tptp.app @t12 @t2)) % 0.52/0.72 (define @t69 () (tptp.cons @t2 tptp.nil)) % 0.52/0.72 (define @t70 () (tptp.hd @t1)) % 0.52/0.72 (define @t71 () (= tptp.nil @t1)) % 0.52/0.72 (define @t72 () (not @t71)) % 0.52/0.72 (define @t73 () (tptp.cons @t2 @t1)) % 0.52/0.72 (define @t74 () (= @t12 @t2)) % 0.52/0.72 (define @t75 () (and @t71 @t50)) % 0.52/0.72 (define @t76 () (= tptp.nil @t54)) % 0.52/0.72 (define @t77 () (= @t76 @t75)) % 0.52/0.72 (define @t78 () (=> @t21 @t77)) % 0.52/0.72 (define @t79 () (forall @t7 @t78)) % 0.52/0.72 (define @t80 () (=> @t17 @t79)) % 0.52/0.72 (define @t81 () (forall @t9 @t80)) % 0.52/0.72 (define @t82 () (@var "X1" $$unsorted)) % 0.52/0.72 (define @t83 () (not (tptp.memberP @t27 @t28))) % 0.52/0.72 (define @t84 () (and @t83 (not (tptp.memberP @t82 @t28)))) % 0.52/0.72 (define @t85 () (tptp.cons @t28 tptp.nil)) % 0.52/0.72 (define @t86 () (tptp.app @t27 @t85)) % 0.52/0.72 (define @t87 () (tptp.app @t86 @t82)) % 0.52/0.72 (define @t88 () (not (= @t87 @t2))) % 0.52/0.72 (define @t89 () (or @t88 @t84)) % 0.52/0.72 (define @t90 () (tptp.ssList @t82)) % 0.52/0.72 (define @t91 () (=> @t90 @t89)) % 0.52/0.72 (define @t92 () (@list @t82)) % 0.52/0.72 (define @t93 () (forall @t92 @t91)) % 0.52/0.72 (define @t94 () (=> @t30 @t93)) % 0.52/0.72 (define @t95 () (forall @t31 @t94)) % 0.52/0.72 (define @t96 () (tptp.ssItem @t28)) % 0.52/0.72 (define @t97 () (=> @t96 @t95)) % 0.52/0.72 (define @t98 () (forall @t33 @t97)) % 0.52/0.72 (define @t99 () (not (= @t2 @t12))) % 0.52/0.72 (define @t100 () (not (= @t1 @t10))) % 0.52/0.72 (define @t101 () (not (= tptp.nil @t12))) % 0.52/0.72 (define @t102 () (or @t101 @t100 @t99 @t98)) % 0.52/0.72 (define @t103 () (=> @t13 @t102)) % 0.52/0.72 (define @t104 () (forall @t14 @t103)) % 0.52/0.72 (define @t105 () (=> @t15 @t104)) % 0.52/0.72 (define @t106 () (forall @t16 @t105)) % 0.52/0.72 (define @t107 () (=> @t21 @t106)) % 0.52/0.72 (define @t108 () (forall @t7 @t107)) % 0.52/0.72 (define @t109 () (=> @t17 @t108)) % 0.52/0.72 (define @t110 () (forall @t9 @t109)) % 0.52/0.72 (define @t111 () (not @t110)) % 0.52/0.72 (define @t112 () (= @t2 tptp.nil)) % 0.52/0.72 (define @t113 () (@var "BOUND_VARIABLE_10603" $$unsorted)) % 0.52/0.72 (define @t114 () (and (= @t113 tptp.nil) @t112)) % 0.52/0.72 (define @t115 () (= tptp.nil (tptp.app @t2 @t113))) % 0.52/0.72 (define @t116 () (= @t115 @t114)) % 0.52/0.72 (define @t117 () (not (tptp.ssList @t113))) % 0.52/0.72 (define @t118 () (not @t17)) % 0.52/0.72 (define @t119 () (or @t118 @t117 @t116)) % 0.52/0.72 (define @t120 () (or @t117 @t116)) % 0.52/0.72 (define @t121 () (or @t118 @t120)) % 0.52/0.72 (define @t122 () (@list @t2 @t113)) % 0.52/0.72 (define @t123 () (forall @t122 @t121)) % 0.52/0.72 (define @t124 () (@list @t113)) % 0.52/0.72 (define @t125 () (forall @t124 @t121)) % 0.52/0.72 (define @t126 () (forall @t124 @t120)) % 0.52/0.72 (define @t127 () (@list @t1)) % 0.52/0.72 (define @t128 () (or @t118 @t126)) % 0.52/0.72 (define @t129 () (= @t76 (and (= @t1 tptp.nil) @t112))) % 0.52/0.72 (define @t130 () (not @t21)) % 0.52/0.72 (define @t131 () (forall @t7 (or @t130 @t129))) % 0.52/0.72 (define @t132 () (@var "BOUND_VARIABLE_11030" $$unsorted)) % 0.52/0.72 (define @t133 () (@var "BOUND_VARIABLE_11034" $$unsorted)) % 0.52/0.72 (define @t134 () (@var "BOUND_VARIABLE_11032" $$unsorted)) % 0.52/0.72 (define @t135 () (and (not (tptp.memberP @t134 @t132)) (not (tptp.memberP @t133 @t132)))) % 0.52/0.72 (define @t136 () (tptp.app (tptp.app @t134 (tptp.cons @t132 tptp.nil)) @t133)) % 0.52/0.72 (define @t137 () (not (= tptp.nil @t136))) % 0.52/0.72 (define @t138 () (not (tptp.ssList @t133))) % 0.52/0.72 (define @t139 () (not (tptp.ssList @t134))) % 0.52/0.72 (define @t140 () (not (tptp.ssItem @t132))) % 0.52/0.72 (define @t141 () (or @t140 @t139 @t138 @t137 @t135)) % 0.52/0.72 (define @t142 () (@list @t132 @t134 @t133)) % 0.52/0.72 (define @t143 () (forall @t142 @t141)) % 0.52/0.72 (define @t144 () (@quantifiers_skolemize @t143 1)) % 0.52/0.72 (define @t145 () (@quantifiers_skolemize @t143 0)) % 0.52/0.72 (define @t146 () (tptp.cons @t145 tptp.nil)) % 0.52/0.72 (define @t147 () (= tptp.nil @t146)) % 0.52/0.72 (define @t148 () (and @t147 (= @t144 tptp.nil))) % 0.52/0.72 (define @t149 () (tptp.app @t144 @t146)) % 0.52/0.72 (define @t150 () (= tptp.nil @t149)) % 0.52/0.72 (define @t151 () (= @t150 @t148)) % 0.52/0.72 (define @t152 () (tptp.ssList @t146)) % 0.52/0.72 (define @t153 () (not @t152)) % 0.52/0.72 (define @t154 () (tptp.ssList @t144)) % 0.52/0.72 (define @t155 () (not @t154)) % 0.52/0.72 (define @t156 () (or @t155 @t153 @t151)) % 0.52/0.72 (define @t157 () (forall @t122 (or @t118 @t117 (= @t115 (and (= tptp.nil @t113) @t112))))) % 0.52/0.72 (define @t158 () (@list @t144 @t146)) % 0.52/0.72 (define @t159 () (and @t147 (= tptp.nil @t144))) % 0.52/0.72 (define @t160 () (= @t150 @t159)) % 0.52/0.72 (define @t161 () (or @t155 @t153 @t160)) % 0.52/0.72 (define @t162 () (@list false)) % 0.52/0.72 (define @t163 () (@list @t157)) % 0.52/0.72 (define @t164 () (@var "BOUND_VARIABLE_9131" $$unsorted)) % 0.52/0.72 (define @t165 () (tptp.ssList (tptp.cons @t164 @t2))) % 0.52/0.72 (define @t166 () (not (tptp.ssItem @t164))) % 0.52/0.72 (define @t167 () (or @t166 @t165)) % 0.52/0.72 (define @t168 () (or @t118 @t167)) % 0.52/0.72 (define @t169 () (forall (@list @t2 @t164) @t168)) % 0.52/0.72 (define @t170 () (@list @t164)) % 0.52/0.72 (define @t171 () (forall @t170 @t168)) % 0.52/0.72 (define @t172 () (forall @t170 @t167)) % 0.52/0.72 (define @t173 () (or @t118 @t172)) % 0.52/0.72 (define @t174 () (not @t6)) % 0.52/0.72 (define @t175 () (forall @t7 (or @t174 @t38))) % 0.52/0.72 (define @t176 () (@list tptp.nil @t145)) % 0.52/0.72 (define @t177 () (forall @t7 @t130)) % 0.52/0.72 (define @t178 () (not @t42)) % 0.52/0.72 (define @t179 () (or @t178 @t143)) % 0.52/0.72 (define @t180 () (or @t178 @t141)) % 0.52/0.72 (define @t181 () (or @t178 @t140 @t139 @t138 @t137 @t135)) % 0.52/0.72 (define @t182 () (not (= tptp.nil tptp.nil))) % 0.52/0.72 (define @t183 () (or @t178 @t182 @t140 @t139 @t138 @t137 @t135)) % 0.52/0.72 (define @t184 () (not (= @t2 @t136))) % 0.52/0.72 (define @t185 () (not @t112)) % 0.52/0.72 (define @t186 () (or @t185 @t118 @t185 @t140 @t139 @t138 @t184 @t135)) % 0.52/0.72 (define @t187 () (or @t118 @t185 @t140 @t139 @t138 @t184 @t135)) % 0.52/0.72 (define @t188 () (forall @t9 @t187)) % 0.52/0.72 (define @t189 () (forall @t142 @t188)) % 0.52/0.72 (define @t190 () (forall (@list @t132 @t134 @t133 @t2) @t187)) % 0.52/0.72 (define @t191 () (@list @t2 @t132 @t134 @t133)) % 0.52/0.72 (define @t192 () (or @t140 @t139 @t138 @t184 @t135)) % 0.52/0.72 (define @t193 () (or @t118 @t192 @t185)) % 0.52/0.72 (define @t194 () (forall @t191 @t193)) % 0.52/0.72 (define @t195 () (forall @t142 @t193)) % 0.52/0.72 (define @t196 () (forall @t142 @t192)) % 0.52/0.72 (define @t197 () (@var "BOUND_VARIABLE_10970" $$unsorted)) % 0.52/0.72 (define @t198 () (@var "BOUND_VARIABLE_10968" $$unsorted)) % 0.52/0.72 (define @t199 () (or @t118 @t196 @t185)) % 0.52/0.72 (define @t200 () (and (not (tptp.memberP @t198 @t28)) (not (tptp.memberP @t197 @t28)))) % 0.52/0.72 (define @t201 () (not (= @t2 (tptp.app (tptp.app @t198 @t85) @t197)))) % 0.52/0.72 (define @t202 () (not (tptp.ssList @t197))) % 0.52/0.72 (define @t203 () (not (tptp.ssList @t198))) % 0.52/0.72 (define @t204 () (not @t96)) % 0.52/0.72 (define @t205 () (or @t204 @t203 @t202 @t201 @t200)) % 0.52/0.72 (define @t206 () (@list @t28 @t198 @t197)) % 0.52/0.72 (define @t207 () (forall @t206 @t205)) % 0.52/0.72 (define @t208 () (or @t118 @t207 @t185)) % 0.52/0.72 (define @t209 () (forall @t9 @t208)) % 0.52/0.72 (define @t210 () (or @t178 @t177 @t209)) % 0.52/0.72 (define @t211 () (or @t178 @t177 @t208)) % 0.52/0.72 (define @t212 () (or @t118 @t207 @t178 @t185 @t177)) % 0.52/0.72 (define @t213 () (or @t207 @t178 @t185 @t177)) % 0.52/0.72 (define @t214 () (or @t207 @t178 @t185 @t130)) % 0.52/0.72 (define @t215 () (or @t130 @t207 @t178 @t185)) % 0.52/0.72 (define @t216 () (or @t207 @t130 @t178 @t185)) % 0.52/0.72 (define @t217 () (or @t178 @t185)) % 0.52/0.72 (define @t218 () (or @t178 @t182 @t185)) % 0.52/0.72 (define @t219 () (not (= @t12 tptp.nil))) % 0.52/0.72 (define @t220 () (not @t15)) % 0.52/0.72 (define @t221 () (or @t219 @t220 @t219 @t99)) % 0.52/0.72 (define @t222 () (or @t220 @t219 @t99)) % 0.52/0.72 (define @t223 () (forall @t16 @t222)) % 0.52/0.72 (define @t224 () (or @t207 @t130 @t223)) % 0.52/0.72 (define @t225 () (or @t207 @t130 @t222)) % 0.52/0.72 (define @t226 () (or @t220 @t219 @t99 @t207 @t130)) % 0.52/0.72 (define @t227 () (or @t219 @t99 @t207 @t130)) % 0.52/0.72 (define @t228 () (not (= @t1 @t1))) % 0.52/0.72 (define @t229 () (or @t130 @t228)) % 0.52/0.72 (define @t230 () (not @t13)) % 0.52/0.72 (define @t231 () (or @t100 @t230 @t100)) % 0.52/0.72 (define @t232 () (or @t230 @t100)) % 0.52/0.72 (define @t233 () (forall @t14 @t232)) % 0.52/0.72 (define @t234 () (or @t219 @t99 @t207 @t233)) % 0.52/0.72 (define @t235 () (or @t219 @t99 @t207 @t232)) % 0.52/0.72 (define @t236 () (or @t230 @t219 @t100 @t99 @t207)) % 0.52/0.72 (define @t237 () (or @t219 @t100 @t99 @t207)) % 0.52/0.72 (define @t238 () (or @t203 @t202 @t201 @t200)) % 0.52/0.72 (define @t239 () (or @t204 @t238)) % 0.52/0.72 (define @t240 () (forall @t206 @t239)) % 0.52/0.72 (define @t241 () (@list @t198 @t197)) % 0.52/0.72 (define @t242 () (forall @t241 @t239)) % 0.52/0.72 (define @t243 () (forall @t241 @t238)) % 0.52/0.72 (define @t244 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 0.52/0.72 (define @t245 () (or @t204 @t243)) % 0.52/0.72 (define @t246 () (and @t83 (not (tptp.memberP @t244 @t28)))) % 0.52/0.72 (define @t247 () (not (= @t2 (tptp.app @t86 @t244)))) % 0.52/0.72 (define @t248 () (not (tptp.ssList @t244))) % 0.52/0.72 (define @t249 () (not @t30)) % 0.52/0.72 (define @t250 () (or @t249 @t248 @t247 @t246)) % 0.52/0.72 (define @t251 () (@list @t27 @t244)) % 0.52/0.72 (define @t252 () (forall @t251 @t250)) % 0.52/0.72 (define @t253 () (or @t248 @t247 @t246)) % 0.52/0.72 (define @t254 () (or @t249 @t253)) % 0.52/0.72 (define @t255 () (forall @t251 @t254)) % 0.52/0.72 (define @t256 () (@list @t244)) % 0.52/0.72 (define @t257 () (forall @t256 @t254)) % 0.52/0.72 (define @t258 () (forall @t256 @t253)) % 0.52/0.72 (define @t259 () (or @t249 @t258)) % 0.52/0.72 (define @t260 () (not (= @t2 @t87))) % 0.52/0.72 (define @t261 () (not @t90)) % 0.52/0.72 (define @t262 () (or @t261 @t260 @t84)) % 0.52/0.72 (define @t263 () (forall @t92 @t262)) % 0.52/0.72 (define @t264 () (or @t260 @t84)) % 0.52/0.72 (define @t265 () (tptp.ssItem @t145)) % 0.52/0.72 (define @t266 () (@quantifiers_skolemize @t143 2)) % 0.52/0.72 (define @t267 () (= tptp.nil (tptp.app @t149 @t266))) % 0.52/0.72 (define @t268 () (not @t267)) % 0.52/0.72 (define @t269 () (tptp.ssList @t266)) % 0.52/0.72 (define @t270 () (not @t269)) % 0.52/0.72 (define @t271 () (not @t265)) % 0.52/0.72 (define @t272 () (or @t271 @t155 @t270 @t268 (and (not (tptp.memberP @t144 @t145)) (not (tptp.memberP @t266 @t145))))) % 0.52/0.72 (define @t273 () (@list true)) % 0.52/0.72 (define @t274 () (@list @t272)) % 0.52/0.72 (define @t275 () (or @t178 @t271 @t152)) % 0.52/0.72 (define @t276 () (@list false false false)) % 0.52/0.72 (define @t277 () (@var "BOUND_VARIABLE_9154" $$unsorted)) % 0.52/0.72 (define @t278 () (not (= @t2 (tptp.cons @t277 @t2)))) % 0.52/0.72 (define @t279 () (not (tptp.ssItem @t277))) % 0.52/0.72 (define @t280 () (or @t279 @t278)) % 0.52/0.72 (define @t281 () (or @t118 @t280)) % 0.52/0.72 (define @t282 () (forall (@list @t2 @t277) @t281)) % 0.52/0.72 (define @t283 () (@list @t277)) % 0.52/0.72 (define @t284 () (forall @t283 @t281)) % 0.52/0.72 (define @t285 () (forall @t283 @t280)) % 0.52/0.72 (define @t286 () (or @t118 @t285)) % 0.52/0.72 (define @t287 () (not (= @t2 @t37))) % 0.52/0.72 (define @t288 () (forall @t7 (or @t174 @t287))) % 0.52/0.72 (define @t289 () (not @t147)) % 0.52/0.72 (define @t290 () (or @t178 @t271 @t289)) % 0.52/0.72 (define @t291 () (not @t159)) % 0.52/0.72 (define @t292 () (not @t150)) % 0.52/0.72 (define @t293 () (= tptp.nil @t266)) % 0.52/0.72 (define @t294 () (and @t293 (= @t149 tptp.nil))) % 0.52/0.72 (define @t295 () (= @t267 @t294)) % 0.52/0.72 (define @t296 () (tptp.ssList @t149)) % 0.52/0.72 (define @t297 () (not @t296)) % 0.52/0.72 (define @t298 () (or @t297 @t270 @t295)) % 0.52/0.72 (define @t299 () (and @t293 @t150)) % 0.52/0.72 (define @t300 () (= @t267 @t299)) % 0.52/0.72 (define @t301 () (or @t297 @t270 @t300)) % 0.52/0.72 (define @t302 () (@var "BOUND_VARIABLE_9375" $$unsorted)) % 0.52/0.72 (define @t303 () (tptp.ssList (tptp.app @t2 @t302))) % 0.52/0.72 (define @t304 () (not (tptp.ssList @t302))) % 0.52/0.72 (define @t305 () (or @t304 @t303)) % 0.52/0.72 (define @t306 () (or @t118 @t305)) % 0.52/0.72 (define @t307 () (forall (@list @t2 @t302) @t306)) % 0.52/0.72 (define @t308 () (@list @t302)) % 0.52/0.72 (define @t309 () (forall @t308 @t306)) % 0.52/0.72 (define @t310 () (forall @t308 @t305)) % 0.52/0.72 (define @t311 () (or @t118 @t310)) % 0.52/0.72 (define @t312 () (forall @t7 (or @t130 @t55))) % 0.52/0.72 (define @t313 () (or @t155 @t153 @t296)) % 0.52/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.72 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.52/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.52/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.72 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.52/0.72 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.52/0.72 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.52/0.72 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.52/0.72 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.52/0.72 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.52/0.72 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.52/0.72 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.52/0.72 (assume @p16 @t41) % 0.52/0.72 (assume @p17 @t42) % 0.52/0.72 (assume @p18 @t47) % 0.52/0.72 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t48))))))))))) % 0.52/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t50 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t49 @t2))))))))) % 0.52/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.52/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t52 (tptp.ssItem @t51))))) % 0.52/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.52/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t52 (tptp.ssList @t53))))) % 0.52/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.52/0.72 (assume @p26 @t58) % 0.52/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t59) (tptp.app @t49 @t2))))))))) % 0.52/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.52/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 0.52/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 @t26) (tptp.leq @t2 @t12))))))))) % 0.52/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 0.52/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 0.52/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t64 @t35) @t65)))))))) % 0.52/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 0.52/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67))))))))) % 0.52/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 0.52/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.72 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.52/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t50)))) % 0.52/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t68 @t1))))))))) % 0.52/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t50)))) % 0.52/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.52/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.52/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t68 @t10) @t1))))))))))) % 0.52/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.52/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t50)))) % 0.52/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t69)))) % 0.52/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.52/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t69)))) % 0.52/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.52/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t69)))) % 0.52/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.52/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t69)))) % 0.52/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.52/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t73) (or @t71 (and @t72 (tptp.totalorderedP @t1) (tptp.leq @t2 @t70))))))))) % 0.52/0.72 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t69)))) % 0.52/0.72 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.52/0.72 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t73) (or @t71 (and @t72 (tptp.strictorderedP @t1) (tptp.lt @t2 @t70))))))))) % 0.52/0.72 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t69)))) % 0.52/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.52/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t69)))) % 0.52/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.52/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t6 (= @t51 @t1))))))) % 0.52/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t52 (exists @t7 (and @t21 (= @t53 @t1))))))) % 0.52/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t72 @t52 (= @t70 @t51) (= (tptp.tl @t1) @t53)) @t48)))))) % 0.52/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t52 (= (tptp.cons @t51 @t53) @t2))))) % 0.52/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t54) @t74)))))))) % 0.52/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t59) @t74)))))))) % 0.52/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.52/0.72 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t54 @t12) (tptp.app @t2 @t19))))))))) % 0.52/0.72 (assume @p83 @t81) % 0.52/0.72 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.52/0.72 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.hd @t54) @t51))))))) % 0.52/0.72 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t52 (= (tptp.tl @t54) (tptp.app @t53 @t1)))))))) % 0.52/0.72 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.52/0.72 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.52/0.72 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.52/0.72 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 @t35) @t65)))))))) % 0.52/0.72 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64))))))) % 0.52/0.72 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61))))))) % 0.52/0.72 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2)))))))) % 0.52/0.72 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.52/0.72 (assume @p96 @t111) % 0.52/0.72 (assume @p97 true) % 0.52/0.72 (step @p98 :rule refl :args (@t112)) % 0.52/0.72 (step @p99 :rule eq-symm :args (@t113 tptp.nil)) % 0.52/0.72 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t114)) % 0.52/0.72 (step @p101 :rule refl :args (@t115)) % 0.52/0.72 (step @p102 :rule cong :premises (@p101 @p100) :args (@t116)) % 0.52/0.72 (step @p103 :rule refl :args (@t117)) % 0.52/0.72 (step @p104 :rule refl :args (@t118)) % 0.52/0.72 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t119)) % 0.52/0.72 (step @p106 :rule aci_norm :args ((= @t121 @t119))) % 0.52/0.72 (step @p107 :rule trans :premises (@p106 @p105)) % 0.52/0.72 (step @p108 :rule cong :premises (@p107) 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(@t96)) % 0.52/0.72 (step @p342 :rule cong :premises (@p341 @p340) :args (@t97)) % 0.52/0.72 (step @p343 :rule cong :premises (@p342) :args (@t98)) % 0.52/0.72 (step @p344 :rule trans :premises (@p343 @p309)) % 0.52/0.72 (step @p345 :rule refl :args (@t100)) % 0.52/0.72 (step @p346 :rule eq-symm :args (tptp.nil @t12)) % 0.52/0.72 (step @p347 :rule cong :premises (@p346) :args (@t101)) % 0.52/0.72 (step @p348 :rule nary_cong :premises (@p347 @p345 @p282 @p344) :args (@t102)) % 0.52/0.72 (step @p349 :rule refl :args (@t13)) % 0.52/0.72 (step @p350 :rule cong :premises (@p349 @p348) :args (@t103)) % 0.52/0.72 (step @p351 :rule cong :premises (@p350) :args (@t104)) % 0.52/0.72 (step @p352 :rule trans :premises (@p351 @p294)) % 0.52/0.72 (step @p353 :rule refl :args (@t15)) % 0.52/0.72 (step @p354 :rule cong :premises (@p353 @p352) :args (@t105)) % 0.52/0.72 (step @p355 :rule cong :premises (@p354) :args (@t106)) % 0.52/0.72 (step @p356 :rule trans :premises (@p355 @p264)) % 0.52/0.72 (step 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(step @p372 :rule reordering :premises (@p371) :args ((or @t265 @t272))) % 0.52/0.72 (step @p373 :rule chain_m_resolution :premises (@p372 @p366) :args (@t265 @t273 @t274)) % 0.52/0.72 (step @p374 :rule not_or_elim :premises (@p364) :args (0)) % 0.52/0.72 (step @p375 :rule not_not_elim :premises (@p374)) % 0.52/0.72 (step @p376 :rule cnf_or_pos :args (@t275)) % 0.52/0.72 (step @p377 :rule reordering :premises (@p376) :args ((or @t178 @t271 @t152 (not @t275)))) % 0.52/0.72 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p373 @p175) :args (@t152 @t276 (@list @t42 @t265 @t275))) % 0.52/0.72 (step @p379 :rule bool-double-not-elim :args (@t154)) % 0.52/0.72 (step @p380 :rule nary_cong :premises (@p368 @p379) :args ((or @t272 (not @t155)))) % 0.52/0.72 (step @p381 :rule cnf_or_neg :args (@t272 1)) % 0.52/0.72 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 0.52/0.72 (step @p383 :rule reordering :premises (@p382) :args ((or @t154 @t272))) % 0.52/0.72 (step @p384 :rule 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cong :premises (@p410) :args (@t47)) % 0.52/0.72 (step @p412 :rule trans :premises (@p411 @p401)) % 0.52/0.72 (step @p413 :rule eq_resolve :premises (@p18 @p412)) % 0.52/0.72 (step @p414 :rule instantiate :premises (@p413) :args (@t176)) % 0.52/0.72 (step @p415 :rule cnf_or_pos :args (@t290)) % 0.52/0.72 (step @p416 :rule reordering :premises (@p415) :args ((or @t178 @t271 @t289 (not @t290)))) % 0.52/0.72 (step @p417 :rule chain_m_resolution :premises (@p416 @p375 @p373 @p414) :args (@t289 @t276 (@list @t42 @t265 @t290))) % 0.52/0.72 (step @p418 :rule cnf_and_pos :args (@t159 0)) % 0.52/0.72 (step @p419 :rule reordering :premises (@p418) :args ((or @t147 @t291))) % 0.52/0.72 (step @p420 :rule chain_m_resolution :premises (@p419 @p417) :args (@t291 @t273 (@list @t147))) % 0.52/0.72 (step @p421 :rule cnf_equiv_pos1 :args (@t160)) % 0.52/0.72 (step @p422 :rule reordering :premises (@p421) :args ((or @t159 @t292 (not @t160)))) % 0.52/0.72 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p387) :args (@t292 (@list true false) (@list @t159 @t160))) % 0.52/0.72 (step @p424 :rule eq-symm :args (@t149 tptp.nil)) % 0.52/0.72 (step @p425 :rule refl :args (@t293)) % 0.52/0.72 (step @p426 :rule nary_cong :premises (@p425 @p424) :args (@t294)) % 0.52/0.72 (step @p427 :rule refl :args (@t267)) % 0.52/0.72 (step @p428 :rule cong :premises (@p427 @p426) :args (@t295)) % 0.52/0.72 (step @p429 :rule refl :args (@t270)) % 0.52/0.72 (step @p430 :rule refl :args (@t297)) % 0.52/0.72 (step @p431 :rule nary_cong :premises (@p430 @p429 @p428) :args (@t298)) % 0.52/0.72 (step @p432 :rule cong :premises (@p146 @p431) :args ((=> @t157 @t298))) % 0.52/0.72 (assume-push @p487 @t157) % 0.52/0.72 (step @p434 :rule instantiate :premises (@p137) :args ((@list @t149 @t266))) % 0.52/0.72 (step-pop @p488 :rule scope :premises (@p434)) % 0.52/0.72 (step @p435 :rule process_scope :premises (@p488) :args (@t298)) % 0.52/0.72 (step @p437 :rule eq_resolve :premises (@p435 @p432)) % 0.52/0.72 (step @p438 :rule implies_elim :premises (@p437)) % 0.52/0.72 (step @p439 :rule chain_m_resolution :premises (@p438 @p137) :args (@t301 @t162 @t163)) % 0.52/0.72 (step @p440 :rule aci_norm :args ((= @t306 (or @t118 @t304 @t303)))) % 0.52/0.72 (step @p441 :rule cong :premises (@p440) :args (@t307)) % 0.52/0.72 (step @p442 :rule quant-merge-prenex :args ((= (forall @t9 @t309) @t307))) % 0.52/0.72 (step @p443 :rule alpha_equiv :args (@t310 (@list @t302) @t127)) % 0.52/0.72 (step @p444 :rule nary_cong :premises (@p111 @p443) :args (@t311)) % 0.52/0.72 (step @p445 :rule quant-miniscope-or :args ((= @t309 @t311))) % 0.52/0.72 (step @p446 :rule trans :premises (@p445 @p444)) % 0.52/0.72 (step @p447 :rule symm :premises (@p446)) % 0.52/0.72 (step @p448 :rule cong :premises (@p447) :args ((forall @t9 (or @t118 @t312)))) % 0.52/0.72 (step @p449 :rule trans :premises (@p448 @p442)) % 0.52/0.72 (step @p450 :rule trans :premises (@p449 @p441)) % 0.52/0.72 (step @p451 :rule bool-impl-elim :args (@t17 @t312)) % 0.52/0.72 (step @p452 :rule cong :premises (@p451) :args ((forall @t9 (=> @t17 @t312)))) % 0.52/0.72 (step @p453 :rule trans :premises (@p452 @p450)) % 0.52/0.72 (step @p454 :rule bool-impl-elim :args (@t21 @t55)) % 0.52/0.72 (step @p455 :rule cong :premises (@p454) :args (@t56)) % 0.52/0.72 (step @p456 :rule cong :premises (@p133 @p455) :args (@t57)) % 0.52/0.72 (step @p457 :rule cong :premises (@p456) :args (@t58)) % 0.52/0.72 (step @p458 :rule trans :premises (@p457 @p453)) % 0.52/0.72 (step @p459 :rule eq_resolve :premises (@p26 @p458)) % 0.52/0.72 (step @p460 :rule instantiate :premises (@p459) :args (@t158)) % 0.52/0.72 (step @p461 :rule cnf_or_pos :args (@t313)) % 0.52/0.72 (step @p462 :rule reordering :premises (@p461) :args ((or @t155 @t153 @t296 (not @t313)))) % 0.52/0.72 (step @p463 :rule chain_m_resolution :premises (@p462 @p384 @p378 @p460) :args (@t296 @t276 (@list @t154 @t152 @t313))) % 0.52/0.72 (step @p464 :rule bool-double-not-elim :args (@t269)) % 0.52/0.72 (step @p465 :rule nary_cong :premises (@p368 @p464) :args ((or @t272 (not @t270)))) % 0.52/0.72 (step @p466 :rule cnf_or_neg :args (@t272 2)) % 0.52/0.72 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 0.52/0.72 (step @p468 :rule reordering :premises (@p467) :args ((or @t269 @t272))) % 0.52/0.72 (step @p469 :rule chain_m_resolution :premises (@p468 @p366) :args (@t269 @t273 @t274)) % 0.52/0.72 (step @p470 :rule cnf_or_pos :args (@t301)) % 0.52/0.72 (step @p471 :rule reordering :premises (@p470) :args ((or @t270 @t297 @t300 (not @t301)))) % 0.52/0.73 (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p463 @p439) :args (@t300 @t276 (@list @t269 @t296 @t301))) % 0.52/0.73 (step @p473 :rule bool-double-not-elim :args (@t267)) % 0.52/0.73 (step @p474 :rule nary_cong :premises (@p368 @p473) :args ((or @t272 (not @t268)))) % 0.52/0.73 (step @p475 :rule cnf_or_neg :args (@t272 3)) % 0.52/0.73 (step @p476 :rule eq_resolve :premises (@p475 @p474)) % 0.52/0.73 (step @p477 :rule reordering :premises (@p476) :args ((or @t267 @t272))) % 0.52/0.73 (step @p478 :rule chain_m_resolution :premises (@p477 @p366) :args (@t267 @t273 @t274)) % 0.52/0.73 (step @p479 :rule cnf_equiv_pos1 :args (@t300)) % 0.52/0.73 (step @p480 :rule reordering :premises (@p479) :args ((or @t268 @t299 (not @t300)))) % 0.52/0.73 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p472) :args (@t299 (@list false false) (@list @t267 @t300))) % 0.52/0.73 (step @p482 :rule cnf_and_pos :args (@t299 1)) % 0.52/0.73 (step @p483 :rule reordering :premises (@p482) :args ((or @t150 (not @t299)))) % 0.52/0.73 (step @p484 false :rule chain_m_resolution :premises (@p483 @p481 @p423) :args (false (@list false true) (@list @t299 @t150))) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------